Irreducible highest weight representations of the simple n-Lie algebra

被引：8

作者：

Balibanu, Dana ^{[1
]}

van de Leur, Johan ^{[1
]}

机构：

[1] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands

来源：

TRANSFORMATION GROUPS | 2012年 / 17卷 / 03期

关键词：

Cartan Subalgebra; Irreducible Module; Primitive Ideal; High Weight Module; High Weight Representation;

D O I：

10.1007/s00031-012-9189-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of all irreducible, highest weight modules, including the infinite-dimensional ones. As a corollary we find all primitive ideals of the universal enveloping algebra of this simple n-Lie algebra.

引用

页码：593 / 613

页数：21

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